Lombardozzi graduated from Atholton High School in 2007. A player on the school's varsity baseball team, he was named a preseason third-team Rawlings high school All-American in 2005. Lombardozzi was playing with the Holyoke Blue Sox in the New England Collegiate Baseball League (NECBL) when he was selected by the Washington Nationals in the 19th round (571st overall) of the 2008 Major League Baseball Draft out of St. Petersburg College.

Lombardozzi spent 2009 with the Class A Hagerstown Suns and recorded a .296 batting average with three home runs, 58 runs batted in (RBIs), and 16 stolen bases in 126 games. Prior to the 2010 season, Lombardozzi was ranked as the Nationals' 15th best prospect. He split the season between the Class-A Advanced Potomac Nationals and Double-A Harrisburg Senators, hitting .293 with six home runs, 49 RBIs, 35 doubles, 11 triples, and 24 stolen bases in 137 games. After reporting back to Harrisburg to start the 2011 season, Lombardozzi earned a promotion to the Triple-A Syracuse Chiefs after hitting .309 in 65 games. He was called up to the majors for the first time on September 6, 2011.

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